The Circle $x^{2}+y^{2}=a^{2}$ Is Rotated Around the Y-Axis to Form a Solid Sphere

Short Answer

The circle $x^{2}+y^{2}=a^{2}$ is rotated around the y-axis to form a solid sphere of radius a.A plane perpendicular to the y-axis at y = a/5 cuts off a spherical cap from the sphere.What percent of the total volume of the sphere is contained in the cap? Round to 2 decimal places.